Texture not showing using Project from View
You obviously have not set the texture for the "white" material (Material), but for the "wooden" material (Material.002) only. Just add the texture to the white material. 

Or if you don't need the white material, just remove it by selecting it and clicking the (-)-button to the right side. Since you would have then just one material, everything of this object should then be made of that one material.

I hope I could help!